PRACTICE ANOTHER fence parallel to one of the sides of the rectangle. Let y represent the length (in feet) of a A farmer wants to fence an area of 6 million square feet in a rectangular field and then divide it in half with side perpendicular to the dividing fence, and let x represent the length (in feet) of a side parallel to the dividing fence. Let F represent the length of fencing in feet. Write an equation that represents Fin terms of the variable x. F(x) = Find the derivative F'(x). F'(x) = Find the critical numbers of the functior. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) What should the lengths of the sides of the rectangular field be (in ft) in order to minimize the cost of the fence? smaller value ft larger value ft
PRACTICE ANOTHER fence parallel to one of the sides of the rectangle. Let y represent the length (in feet) of a A farmer wants to fence an area of 6 million square feet in a rectangular field and then divide it in half with side perpendicular to the dividing fence, and let x represent the length (in feet) of a side parallel to the dividing fence. Let F represent the length of fencing in feet. Write an equation that represents Fin terms of the variable x. F(x) = Find the derivative F'(x). F'(x) = Find the critical numbers of the functior. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) What should the lengths of the sides of the rectangular field be (in ft) in order to minimize the cost of the fence? smaller value ft larger value ft
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
Related questions
Question
![PRACTICE ANOTHER
A farmer wants to fence an area of 6 million square feet in a rectangular field and then divide it in half with
side perpendicular to the dividing fence, and let x represent the length (in feet) of a side parallel to the dividing fence.
fence parallel to one of the sides of the rectangle. Let y represent the length (in feet) of a
Let F represent the length of fencing in feet. Write an equation that represents Fin terms of the variable x.
F(x) =
Find the derivative F'(x).
F'(x) =
Find the critical numbers of the functior. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)
X =
What should the lengths of the sides of the rectangular field be (in ft) in order to minimize the cost of the fence?
smaller value
ft
larger value
ft](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F170cb9b5-2292-4ecc-9f24-3c60291ff66d%2F5dd2483c-7d78-48d2-86c0-f56e81b9f6a8%2Fzbiuec9_processed.jpeg&w=3840&q=75)
Transcribed Image Text:PRACTICE ANOTHER
A farmer wants to fence an area of 6 million square feet in a rectangular field and then divide it in half with
side perpendicular to the dividing fence, and let x represent the length (in feet) of a side parallel to the dividing fence.
fence parallel to one of the sides of the rectangle. Let y represent the length (in feet) of a
Let F represent the length of fencing in feet. Write an equation that represents Fin terms of the variable x.
F(x) =
Find the derivative F'(x).
F'(x) =
Find the critical numbers of the functior. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)
X =
What should the lengths of the sides of the rectangular field be (in ft) in order to minimize the cost of the fence?
smaller value
ft
larger value
ft
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![Calculus: Early Transcendentals](https://www.bartleby.com/isbn_cover_images/9781285741550/9781285741550_smallCoverImage.gif)
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
![Thomas' Calculus (14th Edition)](https://www.bartleby.com/isbn_cover_images/9780134438986/9780134438986_smallCoverImage.gif)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
![Calculus: Early Transcendentals (3rd Edition)](https://www.bartleby.com/isbn_cover_images/9780134763644/9780134763644_smallCoverImage.gif)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
![Calculus: Early Transcendentals](https://www.bartleby.com/isbn_cover_images/9781285741550/9781285741550_smallCoverImage.gif)
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
![Thomas' Calculus (14th Edition)](https://www.bartleby.com/isbn_cover_images/9780134438986/9780134438986_smallCoverImage.gif)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
![Calculus: Early Transcendentals (3rd Edition)](https://www.bartleby.com/isbn_cover_images/9780134763644/9780134763644_smallCoverImage.gif)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
![Calculus: Early Transcendentals](https://www.bartleby.com/isbn_cover_images/9781319050740/9781319050740_smallCoverImage.gif)
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
![Precalculus](https://www.bartleby.com/isbn_cover_images/9780135189405/9780135189405_smallCoverImage.gif)
![Calculus: Early Transcendental Functions](https://www.bartleby.com/isbn_cover_images/9781337552516/9781337552516_smallCoverImage.gif)
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning